Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter B.4, Problem 49E
(A)
To determine
To find: The interpolation polynomial for the table.
(B)
To determine
To find: The approximate number of days when the bacteria concentration reaches its minimum level.
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a) Sketch the y = cosh x, and indicate its properties.
b) prove that sinh 2x = 2 sinh x coshx
dx
برهن
for y=xetanh 3x + cosh¹ x² + 10
dy
Find
cosh x
Find S
dx
1-sinh 2 x
Q2. Find the points on the ellipse x²+4y² = 1, where f(x, y) = xy has its extreme value.
Q3. Find the moment of inertia about x-axis for the area bounded by the curves x = y² and
x=2y-y2 if 8 = y + 1.(20 Mark)
Q4 Find the iterated integral for the following then evaluate it: (20 Mark)
-1/√2 y2
dxdy
-1/√2 1-y2
Q8 Salve:
f√coshx-i.dx
do
Solve: So
Q₂
Qio Salve
S
Sinho + cosho
dx
4-x2
Qll Solve Sdx
√ex+1
Q12 If y = (x²+1). sech (lmx), and dy
dx
Q13 If y = /n | cschx + cothxl, Ind dy
Chapter B.4 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. B.4 - Consider the points in Table 1. (A)Let...Ch. B.4 - Given the following polynomial and table,...Ch. B.4 - Prob. 1MPCh. B.4 - Prob. 2MPCh. B.4 - Prob. 3MPCh. B.4 - Prob. 4MPCh. B.4 - Prob. 1ECh. B.4 - Prob. 2ECh. B.4 - Prob. 3ECh. B.4 - Prob. 4E
Ch. B.4 - Prob. 5ECh. B.4 - Prob. 6ECh. B.4 - Prob. 7ECh. B.4 - Prob. 8ECh. B.4 - Prob. 9ECh. B.4 - Prob. 10ECh. B.4 - Prob. 11ECh. B.4 - Prob. 12ECh. B.4 - Prob. 13ECh. B.4 - In Problems 1320, use the interpolating polynomial...Ch. B.4 - Prob. 15ECh. B.4 - Prob. 16ECh. B.4 - Prob. 17ECh. B.4 - Prob. 18ECh. B.4 - Prob. 19ECh. B.4 - Prob. 20ECh. B.4 - Prob. 21ECh. B.4 - Prob. 22ECh. B.4 - In Problems 2130, find the interpolating...Ch. B.4 - Prob. 24ECh. B.4 - Prob. 25ECh. B.4 - Prob. 26ECh. B.4 - Prob. 27ECh. B.4 - Prob. 28ECh. B.4 - Prob. 29ECh. B.4 - Prob. 30ECh. B.4 - Prob. 31ECh. B.4 - Prob. 32ECh. B.4 - Prob. 33ECh. B.4 - Prob. 34ECh. B.4 - The following table was obtained from the function...Ch. B.4 - Prob. 36ECh. B.4 - Prob. 37ECh. B.4 - The following table was obtained from the function...Ch. B.4 - Prob. 39ECh. B.4 - Prob. 40ECh. B.4 - Prob. 41ECh. B.4 - Prob. 42ECh. B.4 - Prob. 43ECh. B.4 - Prob. 44ECh. B.4 - Maximum revenue. The revenue R (in thousands of...Ch. B.4 - Minimum overage cost. The cost C (in thousands of...Ch. B.4 - Prob. 47ECh. B.4 - Prob. 48ECh. B.4 - Prob. 49ECh. B.4 - Prob. 50ECh. B.4 - Voter registration. The number N of registered...Ch. B.4 - Voter registration. The number N of registered...
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- If y = /R/cschx + cothx|, 2nd dy 3) ans. aus. dy: x^" [ x² + x^ (1+/nx)/nx] dx + 252 cosh + + C ans. + 1 aims. aims. -2 csch'e ans. dy да = 2 12) ans. - cschx + A + Carrow_forwardHyperbolic function - Home work Q₁ show that: d (sechu) = -sechu.tanu. Ju dx Q3 show that: coth x = 1 / m² ( x + 1 | Q2 Proof that: d (sechu) = du -(054<1) u√F-4 dx In 1871 X7/1 X-1 Que Proof that: cost'x= | | x+√x=1/.. Qs show that: sinh (A+B) = SinhA. cosh B + Cosh A. sinh B Q6 Find dy, if y = x** +++ Q7 Solve; e-edxarrow_forwardQ6 cons dy= x^" [ x + x^ (1+/mx)/mx] dx Q7) aus. In (cash/ + F Qs) AMS. 252 cosh ++c +A Q₁) aus. e + A Q10) ans. + + C ams. Qu) Q₁2) ans. QIN 941. - cschx -2 csche + A dy da = 2arrow_forward
- Sketch the region of the integral dy dx. Write an equivalent double integral with the order of integration reversed. Do not solve the integral.arrow_forwardg Ske Find the area of the region bounded by the parabola x = 2y- y² + 1 and the line y = x + 1arrow_forward- | العنوان For the volume of the region in the first octant shown in the adjacent Figure. It is bounded by the coordinates planes, the plane: y = 1-x, and the surface:z = cos(лx/2), 0 ≤x≤1 Find the limits of integration for the two iterated integrals below: dz dx dy and dy dz dx Then find the volume of this region by only one of the above two iterated integrals. = cos(x/2) of y=1-xarrow_forward
- For the volume of the region in the first octant shown in the adjacent Figure. It is bounded by the coordinates planes, the plane: y = 1-x, and the surface:z = cos(лx/2), 0 ≤x≤1 Find the limits of integration for the two iterated integrals below: dz dx dy and dy dz dx Then find the volume of this region by only one of the above two iterated integrals. cos(x/2)/ y 1-xarrow_forwardNo chatgpt pls will upvotearrow_forwardFind the points of intersections of the function f(x) and its derivative. f(x)=(2x-3)√xarrow_forward
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